Respuesta :

[tex] \sf \bigstar \: \red{Answer :-}[/tex]

We have been provided :-

  • Length of a side of a square = [tex] \sf \: 5 {a}^{6} [/tex]

We know that,

[tex] \bigstar \: \boxed{\sf \red{area \: of \: a \: square \: = side \times side}}[/tex]

Therefore, to find the area we will simply put the given values in the equation.

So,

[tex] \sf \: area = {5a}^{6} \times {5a}^{6} = {5a}^{6 + 6} = {5a}^{12} [/tex]

❆ Some important identities to remember :-

[tex] \longrightarrow\sf \: {a}^{m} \times {a}^{n} = {a}^{m + n} \\ \longrightarrow\sf \: {a}^{m} \times {b}^{m} = {ab}^{m} \: \\ \longrightarrow\sf \: {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]

Hope that helps :)